TSTP Solution File: SWV271-2 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWV271-2 : TPTP v3.4.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art04.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 1003MB
% OS : Linux 2.6.17-1.2142_FC4
% CPULimit : 600s
% DateTime : Wed May 6 16:29:38 EDT 2009
% Result : Unsatisfiable 1.9s
% Output : Refutation 1.9s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 11 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 19 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 44 ( 7 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_conjecture_2,plain,
~ c_in(v_y,c_union(c_message_oparts(v_h),c_message_osynth(v_h),tc_message_omsg),tc_message_omsg),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV271-2.tptp',unknown),
[] ).
cnf(156093752,plain,
~ c_in(v_y,c_union(c_message_oparts(v_h),c_message_osynth(v_h),tc_message_omsg),tc_message_omsg),
inference(rewrite,[status(thm)],[cls_conjecture_2]),
[] ).
fof(cls_Set_OUn__iff_1,plain,
! [A,B,C,D] :
( ~ c_in(A,B,C)
| c_in(A,c_union(B,D,C),C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV271-2.tptp',unknown),
[] ).
cnf(156148280,plain,
( ~ c_in(A,B,C)
| c_in(A,c_union(B,D,C),C) ),
inference(rewrite,[status(thm)],[cls_Set_OUn__iff_1]),
[] ).
fof(cls_Message_OMPair__parts_0,plain,
! [A,B,C] :
( ~ c_in(c_message_omsg_ompair(A,B),c_message_oparts(C),tc_message_omsg)
| c_in(B,c_message_oparts(C),tc_message_omsg) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV271-2.tptp',unknown),
[] ).
cnf(156099448,plain,
( ~ c_in(c_message_omsg_ompair(A,B),c_message_oparts(C),tc_message_omsg)
| c_in(B,c_message_oparts(C),tc_message_omsg) ),
inference(rewrite,[status(thm)],[cls_Message_OMPair__parts_0]),
[] ).
fof(cls_Set_OUn__iff_0,plain,
! [A,B,C,D] :
( ~ c_in(A,c_union(B,C,D),D)
| c_in(A,C,D)
| c_in(A,B,D) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV271-2.tptp',unknown),
[] ).
cnf(156142400,plain,
( ~ c_in(A,c_union(B,C,D),D)
| c_in(A,C,D)
| c_in(A,B,D) ),
inference(rewrite,[status(thm)],[cls_Set_OUn__iff_0]),
[] ).
fof(cls_conjecture_1,plain,
c_in(c_message_omsg_ompair(v_x,v_y),c_union(c_message_oparts(v_h),c_message_osynth(v_h),tc_message_omsg),tc_message_omsg),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV271-2.tptp',unknown),
[] ).
cnf(156088728,plain,
c_in(c_message_omsg_ompair(v_x,v_y),c_union(c_message_oparts(v_h),c_message_osynth(v_h),tc_message_omsg),tc_message_omsg),
inference(rewrite,[status(thm)],[cls_conjecture_1]),
[] ).
cnf(168012776,plain,
( c_in(c_message_omsg_ompair(v_x,v_y),c_message_osynth(v_h),tc_message_omsg)
| c_in(c_message_omsg_ompair(v_x,v_y),c_message_oparts(v_h),tc_message_omsg) ),
inference(resolution,[status(thm)],[156142400,156088728]),
[] ).
cnf(175171224,plain,
( c_in(v_y,c_message_oparts(v_h),tc_message_omsg)
| c_in(c_message_omsg_ompair(v_x,v_y),c_message_osynth(v_h),tc_message_omsg) ),
inference(resolution,[status(thm)],[156099448,168012776]),
[] ).
cnf(175217472,plain,
( c_in(v_y,c_union(c_message_oparts(v_h),A,tc_message_omsg),tc_message_omsg)
| c_in(c_message_omsg_ompair(v_x,v_y),c_message_osynth(v_h),tc_message_omsg) ),
inference(resolution,[status(thm)],[156148280,175171224]),
[] ).
cnf(194360264,plain,
c_in(c_message_omsg_ompair(v_x,v_y),c_message_osynth(v_h),tc_message_omsg),
inference(resolution,[status(thm)],[156093752,175217472]),
[] ).
cnf(166567248,plain,
~ c_in(v_y,c_message_oparts(v_h),tc_message_omsg),
inference(resolution,[status(thm)],[156148280,156093752]),
[] ).
cnf(166699096,plain,
~ c_in(c_message_omsg_ompair(A,v_y),c_message_oparts(v_h),tc_message_omsg),
inference(resolution,[status(thm)],[156099448,166567248]),
[] ).
fof(cls_Message_Oparts_OInj_0,plain,
! [A,B] :
( ~ c_in(A,B,tc_message_omsg)
| c_in(A,c_message_oparts(B),tc_message_omsg) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV271-2.tptp',unknown),
[] ).
cnf(156131008,plain,
( ~ c_in(A,B,tc_message_omsg)
| c_in(A,c_message_oparts(B),tc_message_omsg) ),
inference(rewrite,[status(thm)],[cls_Message_Oparts_OInj_0]),
[] ).
cnf(167524144,plain,
~ c_in(c_message_omsg_ompair(A,v_y),v_h,tc_message_omsg),
inference(resolution,[status(thm)],[166699096,156131008]),
[] ).
fof(cls_Message_OMPair__synth_0,plain,
! [A,B,C] :
( ~ c_in(c_message_omsg_ompair(A,B),c_message_osynth(C),tc_message_omsg)
| c_in(B,c_message_osynth(C),tc_message_omsg)
| c_in(c_message_omsg_ompair(A,B),C,tc_message_omsg) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV271-2.tptp',unknown),
[] ).
cnf(156125176,plain,
( ~ c_in(c_message_omsg_ompair(A,B),c_message_osynth(C),tc_message_omsg)
| c_in(B,c_message_osynth(C),tc_message_omsg)
| c_in(c_message_omsg_ompair(A,B),C,tc_message_omsg) ),
inference(rewrite,[status(thm)],[cls_Message_OMPair__synth_0]),
[] ).
fof(cls_Set_OUn__iff_2,plain,
! [A,B,C,D] :
( ~ c_in(A,B,C)
| c_in(A,c_union(D,B,C),C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV271-2.tptp',unknown),
[] ).
cnf(156152368,plain,
( ~ c_in(A,B,C)
| c_in(A,c_union(D,B,C),C) ),
inference(rewrite,[status(thm)],[cls_Set_OUn__iff_2]),
[] ).
cnf(166582496,plain,
~ c_in(v_y,c_message_osynth(v_h),tc_message_omsg),
inference(resolution,[status(thm)],[156152368,156093752]),
[] ).
cnf(182443712,plain,
~ c_in(c_message_omsg_ompair(A,v_y),c_message_osynth(v_h),tc_message_omsg),
inference(forward_subsumption_resolution__resolution,[status(thm)],[167524144,156125176,166582496]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[194360264,182443712]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(cls_conjecture_2,plain,(~c_in(v_y,c_union(c_message_oparts(v_h),c_message_osynth(v_h),tc_message_omsg),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV271-2.tptp',unknown),[]).
%
% cnf(156093752,plain,(~c_in(v_y,c_union(c_message_oparts(v_h),c_message_osynth(v_h),tc_message_omsg),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_conjecture_2]),[]).
%
% fof(cls_Set_OUn__iff_1,plain,(~c_in(A,B,C)|c_in(A,c_union(B,D,C),C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV271-2.tptp',unknown),[]).
%
% cnf(156148280,plain,(~c_in(A,B,C)|c_in(A,c_union(B,D,C),C)),inference(rewrite,[status(thm)],[cls_Set_OUn__iff_1]),[]).
%
% fof(cls_Message_OMPair__parts_0,plain,(~c_in(c_message_omsg_ompair(A,B),c_message_oparts(C),tc_message_omsg)|c_in(B,c_message_oparts(C),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV271-2.tptp',unknown),[]).
%
% cnf(156099448,plain,(~c_in(c_message_omsg_ompair(A,B),c_message_oparts(C),tc_message_omsg)|c_in(B,c_message_oparts(C),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_Message_OMPair__parts_0]),[]).
%
% fof(cls_Set_OUn__iff_0,plain,(~c_in(A,c_union(B,C,D),D)|c_in(A,C,D)|c_in(A,B,D)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV271-2.tptp',unknown),[]).
%
% cnf(156142400,plain,(~c_in(A,c_union(B,C,D),D)|c_in(A,C,D)|c_in(A,B,D)),inference(rewrite,[status(thm)],[cls_Set_OUn__iff_0]),[]).
%
% fof(cls_conjecture_1,plain,(c_in(c_message_omsg_ompair(v_x,v_y),c_union(c_message_oparts(v_h),c_message_osynth(v_h),tc_message_omsg),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV271-2.tptp',unknown),[]).
%
% cnf(156088728,plain,(c_in(c_message_omsg_ompair(v_x,v_y),c_union(c_message_oparts(v_h),c_message_osynth(v_h),tc_message_omsg),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_conjecture_1]),[]).
%
% cnf(168012776,plain,(c_in(c_message_omsg_ompair(v_x,v_y),c_message_osynth(v_h),tc_message_omsg)|c_in(c_message_omsg_ompair(v_x,v_y),c_message_oparts(v_h),tc_message_omsg)),inference(resolution,[status(thm)],[156142400,156088728]),[]).
%
% cnf(175171224,plain,(c_in(v_y,c_message_oparts(v_h),tc_message_omsg)|c_in(c_message_omsg_ompair(v_x,v_y),c_message_osynth(v_h),tc_message_omsg)),inference(resolution,[status(thm)],[156099448,168012776]),[]).
%
% cnf(175217472,plain,(c_in(v_y,c_union(c_message_oparts(v_h),A,tc_message_omsg),tc_message_omsg)|c_in(c_message_omsg_ompair(v_x,v_y),c_message_osynth(v_h),tc_message_omsg)),inference(resolution,[status(thm)],[156148280,175171224]),[]).
%
% cnf(194360264,plain,(c_in(c_message_omsg_ompair(v_x,v_y),c_message_osynth(v_h),tc_message_omsg)),inference(resolution,[status(thm)],[156093752,175217472]),[]).
%
% cnf(166567248,plain,(~c_in(v_y,c_message_oparts(v_h),tc_message_omsg)),inference(resolution,[status(thm)],[156148280,156093752]),[]).
%
% cnf(166699096,plain,(~c_in(c_message_omsg_ompair(A,v_y),c_message_oparts(v_h),tc_message_omsg)),inference(resolution,[status(thm)],[156099448,166567248]),[]).
%
% fof(cls_Message_Oparts_OInj_0,plain,(~c_in(A,B,tc_message_omsg)|c_in(A,c_message_oparts(B),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV271-2.tptp',unknown),[]).
%
% cnf(156131008,plain,(~c_in(A,B,tc_message_omsg)|c_in(A,c_message_oparts(B),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_Message_Oparts_OInj_0]),[]).
%
% cnf(167524144,plain,(~c_in(c_message_omsg_ompair(A,v_y),v_h,tc_message_omsg)),inference(resolution,[status(thm)],[166699096,156131008]),[]).
%
% fof(cls_Message_OMPair__synth_0,plain,(~c_in(c_message_omsg_ompair(A,B),c_message_osynth(C),tc_message_omsg)|c_in(B,c_message_osynth(C),tc_message_omsg)|c_in(c_message_omsg_ompair(A,B),C,tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV271-2.tptp',unknown),[]).
%
% cnf(156125176,plain,(~c_in(c_message_omsg_ompair(A,B),c_message_osynth(C),tc_message_omsg)|c_in(B,c_message_osynth(C),tc_message_omsg)|c_in(c_message_omsg_ompair(A,B),C,tc_message_omsg)),inference(rewrite,[status(thm)],[cls_Message_OMPair__synth_0]),[]).
%
% fof(cls_Set_OUn__iff_2,plain,(~c_in(A,B,C)|c_in(A,c_union(D,B,C),C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV271-2.tptp',unknown),[]).
%
% cnf(156152368,plain,(~c_in(A,B,C)|c_in(A,c_union(D,B,C),C)),inference(rewrite,[status(thm)],[cls_Set_OUn__iff_2]),[]).
%
% cnf(166582496,plain,(~c_in(v_y,c_message_osynth(v_h),tc_message_omsg)),inference(resolution,[status(thm)],[156152368,156093752]),[]).
%
% cnf(182443712,plain,(~c_in(c_message_omsg_ompair(A,v_y),c_message_osynth(v_h),tc_message_omsg)),inference(forward_subsumption_resolution__resolution,[status(thm)],[167524144,156125176,166582496]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[194360264,182443712]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------